Answer:
1. The expected profit for 450 visitors is $625.
Answers may vary in response to which is most helpful.
The equation is most helpful. It is easy to substitute for the variable and find the profit.
(2.50)(450) – 500 = 625
The table is most helpful. The table shows the profit increases $500 for each 200 visitors. This is an increase of $250 for each 100 visitors, or $125 for each 50 visitors.
500 + 125 = 625
The graph is most helpful. First, find 450 visitors on the x axis, then find where the graph intercepts on the y axis.
The expected profit is $625.
2. The expected profit for 800 visitors is $1500.
Answers may vary in response to which is most helpful.
The equation is most helpful. It is easy to substitute for the variable and find the profit.
(2.50)(800) – 500 = 1500
The table is most helpful. The profit increases $500 for each 200 visitors.
1000 + 500 = 1500
The graph is most helpful. Continue the graph for 800 visitors and find where it intercepts on the y axis.
The expected profit is $1500.
Teachers Note:
Any representation could be helpful based on personal preference, as long as a good explanation is given. Either the equation or the table would be most helpful. It is easy to see the pattern extension in the chart. The equation is easy to fill in to find the profit. The graph may be more difficult since 800 visitors are not shown on the graph.